# Perspective: Gardner Physics in Amorphous Solids and Beyond

## TL;DR

This paper reviews recent theoretical and experimental developments on the Gardner transition in amorphous solids, highlighting its significance in understanding glass physics and related complex systems.

## Contribution

It synthesizes recent advances in the study of the Gardner transition across different systems and discusses new research directions in glass physics.

## Key findings

- Identification of physical signatures of the Gardner transition
- Connections between Gardner physics and jamming phenomena
- Potential applications in constraint satisfaction problems

## Abstract

One of the most remarkable predictions to emerge out of the exact infinite-dimensional solution of the glass problem is the Gardner transition. Although this transition was first theoretically proposed a generation ago for certain mean-field spin glass models, its materials relevance was only realized when a systematic effort to relate glass formation and jamming was undertaken. A number of nontrivial physical signatures associated to the Gardner transition have since been considered in various areas, from models of structural glasses to constraint satisfaction problems. This Perspective surveys these recent advances and discusses the novel research opportunities that arise from them.